Magnetic Energy Equation

\(\left[\left(\boldsymbol{v}\times\boldsymbol{B}-\eta\boldsymbol{\mathcal{J}}\right)\times\boldsymbol{B}\right]_r\)	2001	ecrossb_r
\(\left[\left(\boldsymbol{v}\times\boldsymbol{B}-\eta\boldsymbol{\mathcal{J}}\right)\times\boldsymbol{B}\right]_\theta\)	2002	ecrossb_theta
\(\left[\left(\boldsymbol{v}\times\boldsymbol{B}-\eta\boldsymbol{\mathcal{J}}\right)\times\boldsymbol{B}\right]_\phi\)	2003	ecrossb_phi
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}-\eta\boldsymbol{\mathcal{J'}}\right)\times\boldsymbol{B'}\right]_r\)	2004	ecrossb_ppp_r
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}-\eta\boldsymbol{\mathcal{J'}}\right)\times\boldsymbol{B'}\right]_\theta\)	2005	ecrossb_ppp_theta
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}-\eta\boldsymbol{\mathcal{J'}}\right)\times\boldsymbol{B'}\right]_\phi\)	2006	ecrossb_ppp_phi
\(\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}-\eta\boldsymbol{\mathcal{\overline{J}}}\right)\times\boldsymbol{\overline{B}}\right]_r\)	2007	ecrossb_mmm_r
\(\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}-\eta\boldsymbol{\mathcal{\overline{J}}}\right)\times\boldsymbol{\overline{B}}\right]_\theta\)	2008	ecrossb_mmm_theta
\(\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}-\eta\boldsymbol{\mathcal{\overline{J}}}\right)\times\boldsymbol{\overline{B}}\right]_\phi\)	2009	ecrossb_mmm_phi
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\times\boldsymbol{\overline{B}}\right]_r\)	2010	ecrossb_ppm_r
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\times\boldsymbol{\overline{B}}\right]_\theta\)	2011	ecrossb_ppm_theta
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\times\boldsymbol{\overline{B}}\right]_\phi\)	2012	ecrossb_ppm_phi
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\times\boldsymbol{B'}\right]_r\)	2013	ecrossb_pmp_r
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\times\boldsymbol{B'}\right]_\theta\)	2014	ecrossb_pmp_theta
\(\left[\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\times\boldsymbol{B'}\right]_\phi\)	2015	ecrossb_pmp_phi
\(\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_r\)	2016	ecrossb_mpp_r
\(\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\theta\)	2017	ecrossb_mpp_theta
\(\left[\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\phi\)	2018	ecrossb_mpp_phi
\(\boldsymbol{B}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v}\times\boldsymbol{B}\right)\right]\)	2019	induct_work
\(\boldsymbol{B'}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]\)	2020	induct_work_ppp
\(\boldsymbol{B'}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{\overline{B}}\right)\right]\)	2021	induct_work_ppm
\(\boldsymbol{B'}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{\overline{v}}\times\boldsymbol{B'}\right)\right]\)	2022	induct_work_pmp
\(\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{v'}\times\boldsymbol{B'}\right)\right]\)	2023	induct_work_mpp
\(\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\nabla}\times\left(\boldsymbol{\overline{v}}\times\boldsymbol{\overline{B}}\right)\right]\)	2024	induct_work_mmm
\(\boldsymbol{B}\cdot\left[\boldsymbol{B}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\)	2025	ishear_work
\(-\boldsymbol{B}\cdot\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{B}\right]\)	2026	iadvec_work
\(-\boldsymbol{B}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v} \right)\boldsymbol{B}\)	2027	icomp_work
\(\boldsymbol{B'}\cdot\left[\boldsymbol{\overline{B}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\)	2028	ishear_work_pmp
\(-\boldsymbol{B'}\cdot\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]\)	2029	iadvec_work_pmp
\(-\boldsymbol{B'}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{\overline{v}} \right)\boldsymbol{B'}\)	2030	icomp_work_pmp
\(\boldsymbol{B'}\cdot\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{\overline{v}}\right]\)	2031	ishear_work_ppm
\(-\boldsymbol{B'}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{\overline{B}}\right]\)	2032	iadvec_work_ppm
\(-\boldsymbol{B'}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)\boldsymbol{\overline{B}}\)	2033	icomp_work_ppm
\(\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\overline{B}}\cdot\boldsymbol{\nabla}\,\boldsymbol{\overline{v}}\right]\)	2034	ishear_work_mmm
\(-\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{\overline{v}}\cdot\boldsymbol{\nabla}\boldsymbol{\overline{B}}\right]\)	2035	iadvec_work_mmm
\(-\boldsymbol{\overline{B}}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{\overline{v}} \right)\boldsymbol{\overline{B}}\)	2036	icomp_work_mmm
\(\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\)	2037	ishear_work_mpp
\(-\boldsymbol{\overline{B}}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]\)	2038	iadvec_work_mpp
\(-\boldsymbol{\overline{B}}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)\boldsymbol{B'}\)	2039	icomp_work_mpp
\(\boldsymbol{B'}\cdot\left[\boldsymbol{B'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\)	2040	ishear_work_ppp
\(-\boldsymbol{B'}\cdot\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{B'}\right]\)	2041	iadvec_work_ppp
\(-\boldsymbol{B'}\cdot\left(\boldsymbol{\nabla}\cdot\boldsymbol{v'} \right)\boldsymbol{B'}\)	2042	icomp_work_ppp
\(-c_7\boldsymbol{B}\cdot\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B}\right)\right]\)	2043	idiff_work
\(-c_7\boldsymbol{B'}\cdot\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\right]\)	2044	idiff_work_pp
\(-c_7\boldsymbol{\overline{B}}\cdot\left[ \boldsymbol{\nabla}\times\left(\mathrm{f}_7\boldsymbol{\nabla}\times\boldsymbol{\overline{B}}\right)\right]\)	2045	idiff_work_mm